All Exams Test series for 1 year @ ₹349 only
Question

Which of the following statement(s) is/are TRUE?

I. 33 3> 3 33

II. 333 > (3 3) 3

This question was previously asked in
SSC CGL 2017 (Tier 1) Previous Year Paper (16-Aug-2017) (Shift 1)
The correct answer is

Neither I nor II

The statements use exponents (read as \(33^3\) and \(3^{33}\); \(3^{33}\) and \((3^3)^3\)).

Statement I: \(33^3 = 35937\) while \(3^{33} \approx 5.56 \times 10^{15}\). So \(33^3 < 3^{33}\) — False.

Statement II: \((3^3)^3 = 3^9 = 19683\), which exceeds \(3^{33}\)? No: \(3^{33} \gg 3^9\). So \(3^{33} > (3^3)^3\), but the statement claims the opposite — False.

Hence Neither I nor II.

Was this answer helpful?

Similar Questions

  1. The value of (0.3) [{(200 - 146)/(3 × 3 × 3)} - 3] is:

  2. The expression \(\frac{{15\left( {\sqrt {10} + \sqrt 5 } \right)}}{{\sqrt {10\;} + \sqrt {20} + \sqrt {40} - \sqrt 5 - \sqrt {80} }}\)  is equal to:

  3. If x 1/4 + x -1/4 = 2, then what is the value of x 81 + (1/ x 81 )?

  4. Simplify:

    \(\sqrt[3]{{ - 2197}} \times \sqrt[3]{{ - 125}} \div \sqrt[3]{{\frac{{27}}{{512}}}}\)

  5. Find the cube root of (–13824)

    OR Find the value of \(\sqrt[3]{{ - 13824}}\)

  6. If \(x = \sqrt {-\sqrt 3 + \sqrt {3 + 8\sqrt {7 + 4\sqrt 3}}}\)  where x > 0, then the value of x is equal to:

  7. What is the value of \(\frac{\sqrt{7}+\sqrt{5}}{\sqrt{7}−\sqrt{5}} \div \frac{\sqrt{14}+\sqrt{10}}{\sqrt{14}−\sqrt{10}}+\frac{\sqrt{10}}{\sqrt{5}}\) ?

  8. One of the factors of (8 2k + 5 2k ), where k is an odd number, is:

  9. What is the value of \(\sqrt {4600 + \sqrt {540 + \sqrt {1280 + \sqrt {250 + \sqrt {36} } } } } \;?\)

  10. What is the value of √121 + √12321 + √1234321 + √123454321?


Important Questions from Surds and Indices

  1. The cube root of - 64 × - 1331 is:

  2. If (27) m = (81) n, then m 2: mn = ?

  3. if 49 n +  49 n  +  49 n  +  49 n  +  49 n  +  49 n +  49 n  = 7 2221 , then n = ? 

  4. If a x= b y= c zand b 2= ac then y =

  5. The value of (0.3) [{(200 - 146)/(3 × 3 × 3)} - 3] is:

Need Expert Advice?
Upcoming Exams
SSC JE
November 02, 2026
SSC CPO
November 23, 2026
SSC CHSL
November 30, 2026
Test Series
SSC CGL img
SSC
SSC CGL (Tier I + Tier II) 2026 Mock Test Series - Latest Pattern
2509 Tests 6 Tests Free
8792 Attempts
4.2(941)
English, Hindi

Start Your Preparation with Prepp Mobile App

Download the app from Google Play & App Store
Download the app from Google Play & App Store
Prepp Mobile App